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A boundary point interpolation method for stress analysis of solids. (English) Zbl 1115.74380
Summary: A boundary point interpolation method (BPIM) is proposed for solving boundary value problems of solid mechanics. In the BPIM, the boundary of a problem domain is represented by properly scattered nodes. The boundary integral equation (BIE) for 2-D elastostatics has been discretized using point interpolants based only on a group of arbitrarily distributed boundary points. In the present BPIM formulation, the shape functions constructed using polynomial basis function in a curvilinear coordinate possess Dirac delta function property. The boundary conditions can be implemented with ease as in the conventional boundary element method (BEM). The BPIM for 2-D elastostatics has been coded in FORTRAN, and used to obtain numerical results for stress analysis of two-dimensional solids.

MSC:
74S15 Boundary element methods applied to problems in solid mechanics
74S30 Other numerical methods in solid mechanics (MSC2010)
74A10 Stress
74B05 Classical linear elasticity
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